Graphing Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship, represented by k in the equation y = kx.

Front

How do you identify a proportional graph?

Back

A proportional graph is identified by a straight line that passes through the origin (0,0).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the total amount of one quantity by the total amount of the other quantity.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time taken.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Front

How can you tell if a line is proportional or non-proportional?

Back

A line is proportional if it is straight and passes through the origin; if it does not, it is non-proportional.